Osserman manifolds in semi-Riemannian geometry / Eduardo García-Río, Demir N. Kupeli, Ramón Vázquez-Lorenzo.

Author/creator García-Río, Eduardo author.
Other author Kupeli, Demir N., author.
Other author Vázquez-Lorenzo, Ramón, author.
Format Book
PublicationBerlin ; New York : Springer, 2002.
Copyright Date©2002
Descriptionxii, 166 pages ; 24 cm.
Supplemental ContentTable of contents
Supplemental ContentTable of contents only
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Subjects

SeriesLecture notes in mathematics, 0075-8434 ; 1777
Lecture notes in mathematics (Springer-Verlag) ; 1777. ^A496146
Contents The Osserman Conditions in Semi-Riemannian Geometry -- The Osserman Conjecture in Riemannian Geometry -- Lorentzian Osserman Manifolds -- Four-Dimensional Semi-Riemannian Osserman Manifolds with Metric Tensors of Signature (2,2) -- Semi-Riemannian Osserman Manifolds -- Generalizations and Osserman-Related Conditions.
Abstract The subject of this book is Osserman semi-Riemannian manifolds, and in particular, the Osserman conjecture in semi-Riemannian geometry. The treatment is pitched at the intermediate graduate level and requires some intermediate knowledge of differential geometry. The notation is mostly coordinate-free and the terminology is that of modern differential geometry. Known results toward the complete proof of Riemannian Osserman conjecture are given and the Osserman conjecture in Lorentzian geometry is proved completely. Counterexamples to the Osserman conjuncture in generic semi-Riemannian signature are provided and properties of semi-Riemannian Osserman manifolds are investigated.
Local noteJoyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MATHEMATICS (SPRINGER-VERLAG),SEARCH BY CALL NUMBER QA3.L28.
Local noteJoyner-FOR JOYNER LIBRARY HOLDINGS OF THE SERIES, LECTURE NOTES IN MATHEMATICS (SPRINGER-VERLAG),SEARCH BY CALL NUMBER QA3.L28.
Bibliography noteIncludes bibliographical references (pages 157-163) and index.
Other formsAlso available in electronic format.
Issued in other formOnline version: García-Río, Eduardo. Osserman manifolds in semi-Riemannian geometry. Berlin ; New York : Springer, ©2002 9783540456292
LCCN 2002510333
ISBN3540431446 pbk. acid-free paper
ISBN9783540431442 pbk. acid-free paper
ISBNelectronic bk.
ISBNelectronic bk.
Standard identifier# 9783540431442